I guess the idea at the heart of my question is: how do you truly know what a given bass sounds like if it shall always be colored somewhat by the amp you play it through? And it seems like the answer is: you don't.
Well....
There is an epistemological issue here, which is "what does a bass truly sound like on its own?" The problem is that
there is no such condition. The instrument will always be played in an environment that, in some way shape or form, modifies the sound of the instrument. If you somehow had the Perfectly Transparent Amp in a small room with hardwood floors, it's going to sound slightly different than the same setup in a concert hall or an outdoor amphitheater.
In addition, the way you actually play the instrument will have a substantial impact on the sound. Strings, pickup location, pickup settings, passive vs active, pick vs slap vs fingers, various types of picking or slapping or finger techniques, preamps, EQ, any other effects... It all has an impact.
Also, the way we interpret the sound changes whether you are playing solo, or with an acoustic guitar, or a 3-piece, 4-piece, 5-piece or larger band. (That's in addition to the sound of the room and the amplification).
Another factor is
expectations, which can play a huge role in our perceptions of various qualities. Merely telling someone "this recording is of a '59 Precision" when it's actually a cheapo no-name 80s P-bass copy could fool a lot of listeners. A very, very,
very tiny percentage of people can make extremely fine distinctions, but it's lost on most people -- especially if that context is "bass frequencies mixed in with drums, guitars and keyboards by a bored sound engineer in a club where half the audience wants to get wasted." We have decades of research on this, even neurological studies (
How expectation influences perception).
So, you could get close to an amplification system that confers as little coloration as possible -- again, a PA or studio reference equipment -- but you still won't ever really hear the bass "on its own."
To indulge in a bit of jargon: As a human being, you simply don't have access to these types of physical qualities "in itself" or
noumenal sense. It will always be present as
phenomena, as an experience mediated by the context of not just the instrumen'ts variations and amplification method and the room and the other instruments and how you play it, but by the very act of perception by the human brain/mind.
Of course, this is not unique to instruments.
Any object of perception is subject to the same limitations.
There is no such thing as a "pure" or "direct" perception of anything.
Despite all of this, we
can, in fact, get an idea of the inherent characteristics of the equipment by hearing it in different contexts, and with different amplification techniques.
Thus, we turn back to your question....
So what amps are CLOSER to flat than others, and how/why?
Again, I think the real answer would be a PA or studio reference equipment.
But I think you're asking the wrong question. The goal is not to perfectly reproduce the inherent sound of the bass. It's to
produce a pleasing sound that fits the context.
You personally may find that a flat response is pleasing, but I think you're in a very small minority... and for good reason. Bass guitars generally aren't intended to be amplified without coloration, thus they don't sound particularly good that way. Again, that's why there are so many preamp/DI pedals that color the tone.